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Finding the Fourth Proportional to 1,711.94, 2,567.90 and 616.01

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Solution

The fourth proportional to 1,711.94, 2,567.90 and 616.01 is: 924.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.94 : 2,567.90 = 616.01 : x
  2. Step 2: Convert to fraction form
    1,711.94/2,567.90 = 616.01/x
  3. Step 3: Cross multiply
    1,711.94x = 2,567.90 × 616.01
  4. Step 4: Simplify right side
    1,711.94x = 1,581,840.78
  5. Step 5: Solve for x
    x = 1,581,840.78/1,711.94
  6. Step 6: Final answer
    x = 924.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.